A042260 - OEIS

%I #15 Jun 13 2015 00:49:40

%S 25,26,51,77,128,333,461,794,1255,2049,103705,105754,209459,315213,

%T 524672,1364557,1889229,3253786,5143015,8396801,424983065,433379866,

%U 858362931,1291742797,2150105728,5591954253,7742059981,13334014234,21076074215,34410088449

%N Numerators of continued fraction convergents to sqrt(656).

%H Vincenzo Librandi, <a href="/A042260/b042260.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,4098,0,0,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^19 -25*x^18 +26*x^17 -51*x^16 +77*x^15 -128*x^14 +333*x^13 -461*x^12 +794*x^11 -1255*x^10 -2049*x^9 -1255*x^8 -794*x^7 -461*x^6 -333*x^5 -128*x^4 -77*x^3 -51*x^2 -26*x -25) / ((x^10 -64*x^5 -1)*(x^10 +64*x^5 -1)). - _Colin Barker_, Dec 06 2013

%t Numerator[Convergents[Sqrt[656], 30]] (* _Harvey P. Dale_, May 22 2013 *)

%Y Cf. A042261, A040630.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 06 2013